In recent years, the quadratic-phase Fourier transform has been extensively studied. In this talk, we will present the quadratic-phase Fourier transform and some of its properties, namely an inversion theorem, a Riemann-Lebesgue lemma, a Plancherel lemma and a Hausdorff-Young inequality. Some uncertainty principles will be discussed as well as some operators generated by the quadratic-phase Fourier transform and their consequences. The multidimensional case will also be addressed. This talk is based on joint works with L. P. Castro.